Is the wife considered divorced after the husband's two messages of "You are divorced," given that he does not support her or their children, demands travel expenses from her, does not provide housing for her, and attempts to coerce her into relinquishing her legal rights in exchange for not divorcing her?

There is no objection to the wife demanding from her husband financial support, housing, and the rights of the children, nor to taking him to court to compel him to fulfill these obligations. What is sent via mobile phone is not considered a divorce unless he intended to make the divorce contingent upon her suing him in court and demanding her rights. Therefore, he must be asked about his intention. Writing a divorce in mobile phone messages is among the كنايات (allusions or indirect expressions) of divorce, and it does not effect a divorce unless the husband intended for divorce to occur thereby.